FINDING THE VOLUME OF A CONE WORKSHEET

About "Finding the volume of a cone"

Finding the volume of a cone worksheet :

Worksheet given in this section is much useful to the students who would like to practice problems on volume of a cone.

Finding the volume of a cone worksheet - Problems

1. Find the volume of the cone given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  ∏, that is 3.14. 

2. Find the volume of the cone given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  ∏, that is 3.14. 

3. Find the volume of the cone given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  ∏, that is 3.14. 

4. Find the volume of the cone given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  ∏, that is 3.14. 

Finding the volume of a cone worksheet - Solution

Problem 1 :

Find the volume of the cone given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  ∏, that is 3.14. 

Solution : 

Step 1 : 

Write the formula to find volume of a cone.

V  =  1/3 · ∏r²h

Step 2 : 

Substitute the given measures. 

V ≈  1/3 · 3.14 · 2² · 8

Simplify.

V ≈  1/3 · 3.14 · 4 · 8

V ≈  33.5

Hence, the volume of the given cone is about 33.5 cubic inches. 

Problem 2 :

Find the volume of the cone given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  ∏, that is 3.14. 

Solution : 

Step 1 : 

Write the formula to find volume of a cone.

V  =  1/3 · ∏r²h ----- (1)

Step 2 : 

To find the volume, we need the radius of the cone. But, the diameter is given, that is 8 ft. So, find the radius. 

r  =  diameter / 2

r  =  8/2

r  =  4

Step 3 : 

Plug ∏ ≈  3.14, r = 4 and h = 9 in (1).

V ≈  1/3 · 3.14 · 4² · 9

Simplify.

V ≈  1/3 · 3.14 · 16 · 9

V ≈  150.7

Hence, the volume of the given cone is about 150.7 cubic feet. 

Problem 3 :

Find the volume of the cone given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  ∏, that is 3.14. 

Solution : 

Step 1 : 

Write the formula to find volume of a cone.

V  =  1/3 · ∏r²h ----- (1)

Step 2 : 

To find the volume, we need the radius of the cone. But, the diameter is given, that is 15 cm. So, find the radius. 

r  =  diameter / 2

r  =  15/2

r  =  7.5

Step 3 : 

Plug ∏ ≈  3.14, r = 7.5 and h = 16 in (1).

V ≈  1/3 · 3.14 · 7.5² · 16

Simplify.

V ≈  1/3 · 3.14 · 56.25 · 16

V ≈  942

Hence, the volume of the given cone is about 942 cubic cm. 

Problem 4 :

Find the volume of the cone given below. Round your answer to the nearest tenth if necessary. Use the approximate of value of  ∏, that is 3.14. 

Solution : 

Step 1 : 

Write the formula to find volume of a cone.

V  =  1/3 · ∏r²h

Step 2 : 

Substitute the given measures. 

V ≈  1/3 · 3.14 · 2² · 3

Simplify.

V ≈  1/3 · 3.14 · 4 · 3

V ≈  12.6

Hence, the volume of the given cone is about 12.6 cubic feet.

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